The graph shows a line and two similar triangles. What is the equation of the line?

well, let's first off use two points, hmmm those ones already there, say the origin (0,0) and (6,10), so then
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{10}) ~\hfill slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-0}{6-0}\implies \cfrac{5}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{5}{3}(x-0)\implies y=\cfrac{5}{3}x \\\hspace{34em}[/tex]